Question

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Answer 1

α = 27.9794744° ≈ 28.0 m (nearest tenth)

Explanation:

Step 1:

Opposite (O) = 42.5 (the side opposite to the reference angle, α)

Adjacent (A) = 80

Hypotenuse (H) = the longest side opposite to the right angle

2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:

Tan α = Opp/Adj

Plug in the values

Tan α = 42.5/80

3. Make α stand alone

α =
`tan^(-1)((42.5)/(80))`

4. α = 27.9794744° ≈ 28.0 m (nearest tenth)